7,882,508

2² × 1970627

Starting at 7,882,508, the Collatz iteration reaches 1 after 261 steps. The first transition is 3941254; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1970627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,794,396

Proper Divisor Sum 5,911,888

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7882489 ← → #7882529

Radix Representation

Decimal	7882508
Binary	11110000100011100001100 (23 bits)
Octal	0o36043414
Hexadecimal	0x78470C

Divisor Catalog (6)

1 2 4 1,970,627 3,941,254 7,882,508

Collatz Trajectory (261 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,882,508 3,941,254 1,970,627 5,911,882 2,955,941 8,867,824 4,433,912 2,216,956 1,108,478 554,239 1,662,718 831,359 2,494,078 1,247,039 3,741,118 1,870,559 5,611,678 2,805,839 8,417,518 4,208,759 12,626,278 6,313,139 18,939,418 9,469,709 28,409,128 14,204,564 7,102,282 3,551,141 10,653,424 5,326,712 2,663,356 1,331,678 665,839 1,997,518 998,759 2,996,278 1,498,139 4,494,418 2,247,209 6,741,628 3,370,814 1,685,407 5,056,222 2,528,111 7,584,334 3,792,167 11,376,502 5,688,251 17,064,754 8,532,377 25,597,132 12,798,566 6,399,283 19,197,850 9,598,925 28,796,776 14,398,388 7,199,194 3,599,597 10,798,792

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